Nice triples and the Grothendieck-Serre conjecture concerning principal G-bundles over reductive group schemes

DOI10.1215/00127094-2018-0042zbMath1468.14082arXiv1707.01756OpenAlexW2963455354WikidataQ122999129 ScholiaQ122999129MaRDI QIDQ669570

I. A. Panin

Publication date: 15 March 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01756

zbMATH Keywords

reductive group schemesGrothendieck-Serre's conjectureprincipal G-bundles

Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (10)

On the Grothendieck-Serre conjecture about principal bundles and its generalizations ⋮ Special groups, versality and the Grothendieck-Serre conjecture ⋮ A short proof of a theorem due to O. Gabber ⋮ Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field ⋮ A short exact sequence ⋮ Notes on a Grothendieck-Serre conjecture in mixed characteristic case ⋮ Nice triples and the Grothendieck-Serre conjecture concerning principal G-bundles over reductive group schemes ⋮ Two purity theorems and the Grothendieck-Serre conjecture concerning principal -bundles ⋮ \(\mathbb{A}^1\)-invariance of non-stable \(K_1\)-functors in the equicharacteristic case ⋮ On the Grothendieck–Serre conjecture on principal bundles in mixed characteristic

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nice triples and the Grothendieck-Serre conjecture concerning principal G-bundles over reductive group schemes
• A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields
• Locally trivial principal homogeneous spaces
• Schémas en groupes. I: Propriétés générales des schémas en groupes. Exposés I à VIIb. Séminaire de Géométrie Algébrique 1962/64, dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Bertini theorems over finite fields
• Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field
• Two purity theorems and the Grothendieck-Serre conjecture concerning principal -bundles
• Nice triples and moving lemmas for motivic spaces
• On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Rationally trivial Hermitian spaces are locally trivial

This page was built for publication: Nice triples and the Grothendieck-Serre conjecture concerning principal G-bundles over reductive group schemes